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Continuity of Lyapunov exponents for polynomial automorphisms of $\mathbb{C}^2$
Published online by Cambridge University Press: 03 May 2007
Abstract
We prove two continuity theorems for the Lyapunov exponents of the maximal entropy measure of polynomial automorphisms of $\mathbb{C}^2$. The first continuity result holds for any family of polynomial automorphisms of constant dynamical degree. The second result is the continuity of the upper exponent for families degenerating to a one-dimensional map.
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- 2007 Cambridge University Press
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